A 13-bit resolution ROM-less direct digital frequency synthesizer based on a trigonometric quadruple angle formula

Author

Wang, Chua-Chin ; Tseng, Yih-Long ; She, Hsien-Chih ; Li, Chih-Chen ; Hu, Ron

Author_Institution

Dept. of Electr. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan

Volume

12

Issue

9

fYear

2004

Firstpage

895

Lastpage

900

Abstract

A ROM-less direct digital frequency synthesizer employing trigonometric quadruple angle formula is present in this paper. The worse case spectral purity is better than -130 dBc. The amplitude resolution is up to 13 bits, while the phase resolution is 12 bits. Neither any scaling table nor error correction tables are required. The maximum error is mathematically analyzed. The word length of each multiplier is carefully selected in the digital implementation such that the error range is circumscribed and the resolution is preserved.

Keywords

direct digital synthesis; error correction; integrated circuit modelling; integrated circuit noise; integrated circuit testing; read-only storage; 13 B; 13-bit resolution ROM; amplitude resolution; digital implementation; direct digital frequency synthesizer; error correction; phase resolution; spectral purity; trigonometric quadruple angle formula; Approximation error; CMOS technology; Equations; Error analysis; Error correction; Frequency synthesizers; Phase noise; Quantization; Radio frequency; Table lookup;

fLanguage

English

Journal_Title

Very Large Scale Integration (VLSI) Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-8210

Type

jour

DOI

10.1109/TVLSI.2004.833664

Filename

1327626